Koch curve
English: The Koch curve is the same as the snowflake, except it starts with a line segment instead of an equilateral triangle.
Deutsch: Die Koch-Kurve oder kochsche Kurve ist ein von dem schwedischen Mathematiker Helge von Koch 1904 vorgestelltes Beispiel für eine überall stetige, aber nirgends differenzierbare Kurve.
See also: Koch snowflake
Illustrations
Iteration
- SVG, 1 step
- SVG, 2 steps
- SVG, 3 steps
- SVG, 4 steps
- SVG, 5 steps
- SVG, 6 steps
- SVG, 7 steps
Animations
Variants
- Koch surface. Extension in higher dimension
- iterations of the Koch surface.
- Quadratic Koch curve (type 1).
- Iterations of the quadratic Koch curve (type 1).
- Quadratic Koch curve (type 2).
- Iterations of the quadratic Koch curve (type 2).
- Quadratic Koch surface(type 1). After 2 iterations.
- Quadratic Koch surface(type 2). After 1 iteration.
- A Koch curve extended into three dimensions.
- An animation of a 3D Koch curve.